This article focuses on the synthesis of computationally friendly sub-optimal nonlinear model predictive control (NMPC) algorithms with guaranteed robust stability. To analyse the robustness of the MPC closed-loop system, we employ the input-to-state stability (ISS) framework. To design ISS sub-optimal NMPC schemes, a new Lyapunov-based method is proposed. ISS is ensured via a set of constraints, which can be specified as a finite number of linear inequalities for input affine nonlinear systems. Furthermore, the method allows for online optimization over the ISS gain of the resulting closed-loop system. The potential of the developed theory for the control of fast nonlinear systems, with sampling periods below 1 ms, is illustrated by applying it to control a Buck-Boost DC-DC converter.
|Number of pages||15|
|Journal||International Journal of Robust and Nonlinear Control|
|Publication status||Published - 2008|
Lazar, M., Heemels, W. P. M. H., Roset, B. J. P., Nijmeijer, H., & Bosch, van den, P. P. J. (2008). Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters. International Journal of Robust and Nonlinear Control, 18(8), 890-904. https://doi.org/10.1002/rnc.1249